A new model reference control architecture for uncertain dynamical systems

Gerardo De La Torre, Tansel Yucelen, Eric Johnson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control Conference 2012
StatePublished - Dec 1 2012
EventAIAA Guidance, Navigation, and Control Conference 2012 - Minneapolis, MN, United States
Duration: Aug 13 2012Aug 16 2012

Other

OtherAIAA Guidance, Navigation, and Control Conference 2012
CountryUnited States
CityMinneapolis, MN
Period8/13/128/16/12

Fingerprint

Dynamical systems
Governors
Model reference adaptive control
Robust control
Parameterization
Control systems
Controllers

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

De La Torre, G., Yucelen, T., & Johnson, E. (2012). A new model reference control architecture for uncertain dynamical systems. In AIAA Guidance, Navigation, and Control Conference 2012
De La Torre, Gerardo ; Yucelen, Tansel ; Johnson, Eric. / A new model reference control architecture for uncertain dynamical systems. AIAA Guidance, Navigation, and Control Conference 2012. 2012.
@inproceedings{e74629a65d964210ab1a6d2d2670b131,
title = "A new model reference control architecture for uncertain dynamical systems",
abstract = "Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.",
author = "{De La Torre}, Gerardo and Tansel Yucelen and Eric Johnson",
year = "2012",
month = "12",
day = "1",
language = "English (US)",
isbn = "9781600869389",
booktitle = "AIAA Guidance, Navigation, and Control Conference 2012",

}

De La Torre, G, Yucelen, T & Johnson, E 2012, A new model reference control architecture for uncertain dynamical systems. in AIAA Guidance, Navigation, and Control Conference 2012. AIAA Guidance, Navigation, and Control Conference 2012, Minneapolis, MN, United States, 8/13/12.

A new model reference control architecture for uncertain dynamical systems. / De La Torre, Gerardo; Yucelen, Tansel; Johnson, Eric.

AIAA Guidance, Navigation, and Control Conference 2012. 2012.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - A new model reference control architecture for uncertain dynamical systems

AU - De La Torre, Gerardo

AU - Yucelen, Tansel

AU - Johnson, Eric

PY - 2012/12/1

Y1 - 2012/12/1

N2 - Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.

AB - Here, a model reference control design is applied to uncertain dynamical systems. The design approach and related theory is inspired by both robust control and previous work in model reference adaptive control. The result is a simple (non-adaptive) control system with important performance guarantees against a general and uncertain dynamics. Similar to the design of adaptive controllers, we assume the existence of a parameterization of the system uncertainty. It is shown by using a recently proposed command governor architecture that if a priori knowledge of a conservative upper bound on the unknown ideal weight matrix is available, then it is possible not only to stabilize the uncertain dynamical system but also to achieve a guaranteed performance. Specifically, we show the controlled uncertain dynamical system approximates a given ideal reference system by properly choosing the design parameter of a command governor. Numerical examples illustrate the effectiveness of the proposed methodology.

UR - http://www.scopus.com/inward/record.url?scp=84880616292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880616292&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84880616292

SN - 9781600869389

BT - AIAA Guidance, Navigation, and Control Conference 2012

ER -

De La Torre G, Yucelen T, Johnson E. A new model reference control architecture for uncertain dynamical systems. In AIAA Guidance, Navigation, and Control Conference 2012. 2012